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Finding the Fourth Proportional to 31,594,574.30, 44,292,123.70 and 31,594,574.30

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Solution

The fourth proportional to 31,594,574.30, 44,292,123.70 and 31,594,574.30 is: 44,292,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594,574.30 : 44,292,123.70 = 31,594,574.30 : x
  2. Step 2: Convert to fraction form
    31,594,574.30/44,292,123.70 = 31,594,574.30/x
  3. Step 3: Cross multiply
    31,594,574.30x = 44,292,123.70 × 31,594,574.30
  4. Step 4: Simplify right side
    31,594,574.30x = 1,399,390,793,144,441
  5. Step 5: Solve for x
    x = 1,399,390,793,144,441/31,594,574.30
  6. Step 6: Final answer
    x = 44,292,123.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.